Lucy was born on 08/05/1999. How many eight digit codes could she make using the digits in her birthday
Answer:
3,360 different codes.
Step-by-step explanation:
Here we have a set of 8 numbers:
{0, 0, 1, 5, 8, 9, 9, 9}
Now we want to make an 8th digit code with those numbers (each number can be used only once)
Now let's count the number of options for each digit in the code.
For the first digit, we will have 8 options
For the second digit, we will have 7 options (because one was already taken)
For the third digit, we will have 6 options (because two were already taken)
you already can see the pattern here:
For the fourth digit, we will have 5 options
For the fifth digit, we will have 4 options
For the sixth digit, we will have 3 options
For the seventh digit, we will have 2 options
For the eighth digit, we will have 1 option.
The total number of codes will be equal to the product between the numbers of options for each digit, then we have that the total number of codes is:
N = 8*7*6*5*4*3*2*1 = 8!
But wait, you can see that the 9 is repeated 3 times (then we have 3*2*1 = 3! permutations for the nines), and the 0 is repeated two times (then we have 2*1 = 2! permutations for the zeros).
Then we need to divide the number of different codes that we found above by 3! and 2!.
We get that the total number of different codes is:
C = [tex]\frac{8!}{2!*3!} = \frac{8*7*6*5*4}{2} = 8*7*6*5*2 = 3,360[/tex]
3,360 different codes.
The number of eight digit code she can make is, 3360.
If any number have n digits, then number of ways it can be arranged = [tex]n![/tex]
Given that, Born date is, 08/05/1999
Total number of digits in birth date = 8
So, number of ways it can be arranged = [tex]8![/tex]
Since, In birth date 9 is three times and 0 is two times.
Therefore, number of arrangements = [tex]\frac{8!}{3!*2!}=3360[/tex]
Therefore, she can make 3360 eight digit codes from given birth date.
Learn more:
https://brainly.com/question/24115376
Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and
the axis of symmetry.
Answer:
x = –1 AND (-1,2)
Step-by-step explanation:
The axis of symmetry is x = –1
and the vertex is (-1,2)
i know this because the graph is on -1, 2
and I also took the quiz hope it helps ;)
The vertex of the function is (-1, 2).
The axis of symmetry of the function is -1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = (x + 1)² + 2
f(x) = x² + 2x + 1 + 2
f(x) = x² + 2x + 3
Now it is in the form of ax² + bx + c
a = 1
b = 2
c = 3
The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)
-b/2a = -2/2 = -1
f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2
Vertex = (-1, 2)
The axis of symmetry is the x-coordinate of the vertex.
= -1.
Thus,
Vertex is (-1, 2).
The axis of symmetry is -1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
I'm timed. Factor the Expression 4x - 30y
Answer:
23
Step-by-step explanation:
GCF of 4 is 2 and GCF of 30 is 6.
2(2*x)-6(5*y)
---
hope it helps
A pizza cut into 8 pieces cost $10.00.
What is the cost per piece?
Answer:
$1.25
Step-by-step explanation:
10/8 =1.25
Answer:
$1.25
Step-by-step explanation:
just divided 10 with 8
Use multiplication to explain why 3/4 ÷ 2/5 =15/8 please help me
Answer:
See below
Step-by-step explanation:
[tex] \frac{3}{4} \div \frac{2}{5} \\ \\ = \frac{3}{4} \times \frac{5}{2} \\ \\ = \frac{3 \times 5}{4 \times 2} \\ \\ = \frac{15}{8} [/tex]
help me
The two major types of metal electrical cable are:
A.wire and fibre
B.twisted pair and coaxial
C.twisted pair and fibre optic
D.coaxial and fibre optic
2. What are the most common forms of wireless connection?
A.infrared beams
B.microwaves
C.radio waves
D.all of the above
3. Wi-fi connections have limited range of :
A.10 metres
B.600 metres
C.20 metres
D.300 metres
Answer:
1.The two major types of metal electrical cable are:
A.wire and fibre
2. What are the most common forms of wireless connection?
C.Radio news
3. Wi-fi connections have limited range of :
D.300 metres
Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.
Answer:
y=4x+5
Step-by-step explanation:
y=mx+c
gradient =m
y intercept=c
m=4
c=5
so
y=4x+5
Answer:
y=4x+9
Step-by-step explanation:
y=mx+b
y=4x+b
5=4(-1)+b
5=-4+b
b=9
y=4x+9
1. El ayuntamiento de un pueblo quiere asfaltar
una plaza circular que tiene en el centro una
fuente, también circular, para celebrar allí con-
ciertos de música a lo largo del año. Si la fuente
tiene un diámetro de 4 m y la plaza, uno de 16
m, ¿cual será el área de la región por asfaltar?
Enteros 15+18 resultado
4/5 x 7 need help asap
Answer:
4/5=0.8×7=5.6
5.6 is the answer
Hey there!
4/5 × 7
= 4×7/5
= 28/5
= 5.6
Hope it helps ya!
What is the value of x in the equation below?
12 – 2(x-1)=6
Please help me with the question
Answer:
the tree is 8ft long
Step-by-step explanation:
beans
Can we just get rid of math forever?
Answer:
I don't think so .... :(((
PLz hlep will mark brain list
Answer:
20
Step-by-step explanation:
Find the difference of the smallest value and the largest value.
Answer:
30 minus 10 then the range is 20
please help me out! I don’t understand
Answer:
10/26
Step-by-step explanation:
out of 26 student 10 have a brother 8 people have only a brother and 2 people have both a sister and a brother. so you have 10/26
Plsss helppp ASAP
Will mark brainleist
Answer:
B
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a , b ] = [ 15, 35 ]
and f(b) = f(35) = 400 ← from graph
f(a) = f(15) = 200 ← from graph
Then average rate of change is
[tex]\frac{400-200}{35-15}[/tex] = [tex]\frac{200}{20}[/tex] = 10 m/ s → B
Luis paid a total of $72.00 for 3 pairs of shorts. If each pair of shorts costs the same amount, what is the price of one pair of shorts?
Answer:
24
Step-by-step explanation:
72/3
2. The two figures are similar. Write the similarity statement. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image (Hint: What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?
Answer:
1.66666666667
Step-by-step explanation:
I have to find the scale factor of the side lengths. This would be 1.66666666667. Why? The side lengths for triangle 1 are: 40 and 50. Triangle 2's side lengths: 24 and 30. Match the lengths, and divide. 50 divided by 30=1.66666666667, and 40 divided by 24=1.66666666667, Hope this helped!
help wrong answers reported
Answer:
65
Step-by-step explanation:
all triangles angles equal 180°
180-72-43=65
The list below shows the different taco shells, fillings, and toppings sold at Rico's Taco Bar.
Taco Shells
Fillings
Toppings
Soft
Chicken
Cheese
Hard
Beef
Lettuce
Bean
Sour Cream
Onions
Salsa
How many different types of tacos can Rico make using one taco shell, one filling, and one topping?
Answer:
30 different types of tacos can Rico make.
Step-by-step explanation:
Given - The list below shows the different taco shells, fillings, and toppings sold at Rico's Taco Bar.
Taco Shells Fillings Toppings
Soft Chicken Cheese
Hard Beef Lettuce
Bean Sour Cream
Onions
Salsa
To find - How many different types of tacos can Rico make using one taco shell, one filling, and one topping?
Proof -
Given that,
There are 2 different types of Taco shells, 3 different type of fillings and 5 different types of toppings.
So, by the fundamental principal of counting,
Total types of tacos Rico made = 2 × 3 ×5 = 30
14. Write the ratio of 2 cups of apple juice to 5 cups of orange juice the 3 different ways.
Answer:
1. 2:5
2. 5:2
3. 2,5
Step-by-step explanation:
Hope you have a great day
Need help on this one I really don’t get this
Triangle EFG is dilated by a scale factor of 1/4 to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of side EF?
Answer: 3.125
Step-by-step explanation:
Given
Triangle is dilated by a factor of [tex]\frac{1}{4}[/tex] i.e. each side multiplies to 0.25.
Side E'F' becomes 0.25 times the original length
[tex]\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125[/tex]
HELP ME FIND AREA :D thanks :3
Answer:
the actual answer is 3,240 is the answer
Translate each equation into slope-intercept form. Then, state the slope and y-intercept . 4y=2x+20
Answer:
The slope-intercept form of the equation: y = 0.5x + 5
The slope: m = 0.5
The y-intercept: b = 5
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is y-intecept
4y = 2x + 20 {divide both sides by 4}
y = 0.5x + 5 ⇒ m = 0.5 and b = 5
the impressionist period in music was about creating
Answer:
The Impressionist period was distinctive because composers were focused on creating an impression through building atmospheres, pictures, and sound worlds with music. Composers Debussy and Ravel were at the forefront of this ground-breaking musical style.
Crystal reads 25 pages in 1 hour. Write an equation to represent the 2
relationship between the number of pages Crystal reads and how much time she spends reading. Let p = number of pages and t = number of hours.
Answer:
she read 25 pages in 60 minutes
Step-by-step explanation:
Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The mean pulse rate (in beats per minute) of the group of adult males is bpm. B. The mean pulse rate (in beats per minute) of the group of adult males is not bpm. C. There sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is bpm. D. There sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is bpm.
Answer:
D. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 69bpm.
Step-by-step explanation:
Hypothesis testing is used in statistics to confirm the validity of a statement or observation. Null hypothesis is the original observation for which the test is being conducted. Alternative hypothesis is set against the null hypothesis to reach a conclusion whether to accept or reject the null hypothesis. In the given scenario there is sufficient evidence to reject the null hypothesis.
5
7
9
4
In percents?
Answer:
Convert the decimal to a percentage by multiplying the decimal by
100 .
500%
700%
900%
400%
Which graph represents an equation in the form =?
Please help me!!
That's a question about graphs.
In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).
When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).
To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.
For example: To represent the equation [tex]y = x +1[/tex], let's replace the value of x:
When x = 0 → [tex]y = 0 + 1 = 1[/tex]. Therefore, the coordenate is (0, 1).When x = 1 → [tex]y = 1 + 1 = 2[/tex]. Therefore, the coordenate is (1, 2).Finally, if we draw a line tha cross these 2 points, we will have the graph that represents [tex]y = x +1[/tex].
Now you know about it, let's solve our problem?
In that question, we should to find the graph that represents the equation [tex]y = kx[/tex], but we don't know the value of k, so what should we do? It's easy:
k is a constant. That means that the value of k never changes. Now, let's analyze a specific case:
If x = 0, so y = 0 as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:
When If x = 0 → [tex]y = 0 \times k = 0[/tex]. So, this graph cross the coordinate (0,0).With the informations that the problem give to us, these are the unique things that we can find, but that's enough.
When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:
I hope I've helped. :D
Enjoy your studies! \o/